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Finding the Fourth Proportional to 562.02, 775.08 and 406.50

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Solution

The fourth proportional to 562.02, 775.08 and 406.50 is: 560.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.02 : 775.08 = 406.50 : x
  2. Step 2: Convert to fraction form
    562.02/775.08 = 406.50/x
  3. Step 3: Cross multiply
    562.02x = 775.08 × 406.50
  4. Step 4: Simplify right side
    562.02x = 315,070.02
  5. Step 5: Solve for x
    x = 315,070.02/562.02
  6. Step 6: Final answer
    x = 560.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.